Question Number 188258 by LEKOUMA last updated on 27/Feb/23 $${Solve}\: \\ $$$${y}={x}\left({y}'\right)^{\mathrm{2}} −\frac{\mathrm{1}}{{y}'} \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 122715 by ZiYangLee last updated on 19/Nov/20 Answered by liberty last updated on 19/Nov/20 $$\left({a}\right)\:{put}\:{Discriminant}\:<\mathrm{0}\:{and}\:\alpha^{\mathrm{2}} \:>\mathrm{0} \\ $$$$\Rightarrow\:\mathrm{4}\left(\mathrm{2}\alpha−\mathrm{5}\right)^{\mathrm{2}} −\mathrm{4}\alpha^{\mathrm{2}} .\mathrm{8}\:<\:\mathrm{0} \\ $$$$\Rightarrow\:\left(\mathrm{2}\alpha−\mathrm{5}\right)^{\mathrm{2}} −\mathrm{8}\alpha^{\mathrm{2}}…
Question Number 122708 by mathdave last updated on 19/Nov/20 $${solve} \\ $$$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \mathrm{ln}\left(\mathrm{2}+\mathrm{tan}^{\mathrm{2}} {x}\right){dx} \\ $$ Commented by Dwaipayan Shikari last updated on 19/Nov/20…
Question Number 57164 by ANTARES VY last updated on 31/Mar/19 $$\mathrm{2}\boldsymbol{\mathrm{x}}+\mathrm{1}+\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\boldsymbol{\mathrm{x}}^{\mathrm{3}} +\boldsymbol{\mathrm{x}}^{\mathrm{4}} −\boldsymbol{\mathrm{x}}^{\mathrm{5}} −…..=\frac{\mathrm{13}}{\mathrm{6}} \\ $$$$\boldsymbol{\mathrm{solved}}\:\:\boldsymbol{\mathrm{equation}}. \\ $$$$\mid\boldsymbol{\mathrm{x}}\mid<\mathrm{1} \\ $$ Answered by tanmay.chaudhury50@gmail.com last…
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Question Number 122679 by mathocean1 last updated on 18/Nov/20 $${N}=\mathrm{1335}\:{in}\:{base}\:{a}.\: \\ $$$${Write}\:{N}\:{in}\:{base}\:{a}+\mathrm{1} \\ $$ Answered by mr W last updated on 18/Nov/20 $${N}=\left(\mathrm{1335}\right)_{{a}} \\ $$$$=\mathrm{1}×{a}^{\mathrm{3}}…
Question Number 122673 by mathocean1 last updated on 18/Nov/20 $${Peter}\:{invite}\:{his}\:{son}\:{to}\:\:{choose} \\ $$$${secret}\:{integer}\:{n}\:{such}\:{that}\: \\ $$$${n}\:\in\:\left[\mathrm{1};\mathrm{63}\right]\:{and}\:{to}\:{choose}\:{among} \\ $$$${these}\:\mathrm{6}\:{following}\:{card}\:\left({CARTE}\right) \\ $$$${the}\:{card}\:{which}\:{contains}\:{the} \\ $$$${choosed}\:{secret}\:{digit}.\:{i}\:{will} \\ $$$${link}\:{these}\:{cards}\:{in}\:{image}. \\ $$$$\left.\mathrm{1}\right)\:{How}\:{should}\:{the}\:{Peter}'{s}\:{son} \\…
Question Number 122666 by mathocean1 last updated on 18/Nov/20 $${we}\:{suppose}\:{that}\:{today}\:{is}\: \\ $$$${Monday}\:\mathrm{05}^{{th}} {November}\:\mathrm{2020}. \\ $$$$\mathrm{2020}\:{is}\:{a}\:{bissextile}\:{year}\:\left({it}\:\right. \\ $$$$\left.{contains}\:\mathrm{366}\:{days}\right).\:{John}\:{was} \\ $$$${born}\:{the}\:\mathrm{11}^{{th}} {mars}\:\mathrm{1972}. \\ $$$${find}\:{the}\:{day}\:{of}\:{week}\:{he}\:{was} \\ $$$${born}. \\…
Question Number 122659 by mathocean1 last updated on 18/Nov/20 $${Determinate}\:{the}\:{geometric} \\ $$$${aspect}\:{described}\:{by}\:{M}\left({z}\right)\:{in} \\ $$$${complex}\:{plane}\:{such}\:{that}: \\ $$$${arg}\left(\overset{−} {{z}}−\mathrm{3}+{i}\right)\equiv\frac{\pi}{\mathrm{4}}\left[\mathrm{2}\pi\right] \\ $$ Answered by MJS_new last updated on…
Question Number 57051 by Hassen_Timol last updated on 29/Mar/19 $$ \\ $$$$\:\:\boldsymbol{{F}}_{\boldsymbol{{n}}} \:=\:\frac{\varphi^{{n}} \:−\:\left(\mathrm{1}\:−\:\varphi\right)^{{n}} }{\:\sqrt{\mathrm{5}}}\:,\:\:\mathrm{with}\:\begin{cases}{\varphi\:=\:\frac{\mathrm{1}\:+\:\sqrt{\mathrm{5}}}{\mathrm{2}}}\end{cases} \\ $$$$ \\ $$$$\:\:\left(\boldsymbol{{G}}_{\boldsymbol{{n}}} \right)\::\:\begin{cases}{\boldsymbol{{G}}_{\mathrm{1}} \:=\:\mathrm{1}}\\{\boldsymbol{{G}}_{\mathrm{2}} \:=\:\mathrm{1}}\\{\boldsymbol{{G}}_{{m}} \:=\:\boldsymbol{{G}}_{\mathrm{m}−\mathrm{1}} \:+\:\boldsymbol{{G}}_{{m}−\mathrm{2}} }\end{cases}…